2- PROBABILITY

EXPERIMENT: PROBABILITY
Here is your goal for this lesson:

Perform an experiment on probability

These supplies are needed.

2 coins
box (cardboard shoebox is good)

LAB REPORT
Complete your lab report in the essay box below. Make sure that your report includes the following:
Student Name
Date Experiment Done
Date Report Completed
Record your data
Hypothesis:
A prediction of what you think the results of the project will be. Write your hypothesis before you begin the experiment. A common sentence form for a hypothesis is to use an ‘if-then’ statement. (Example: If students get adequate rest, then grades will improve.) (1-2 sentences)
Procedure:
In 1st person past tense, write a summary of what you actually did in performing the experiment. Be sure to include any modifications. You should include enough detail so that someone could reproduce the experiment based on what you have written.
Data:
Write a detailed description of your observations, results and any measurements.
Tossing 1 coin:

# of Heads
# of Tails
10 tosses:

100 tosses:

200 tosses:

Tossing 2 coins:

# of 2 heads
# of 2 tails
# of 1 head- 1 tail combinations
100 tosses:

Calculations/Interpretations:
Show all math performed (label the calculation or give the formula, show your setup, and give the result) and include proper labels. Also, answer any questions asked in the lab.
1. In tossing one coin 10 times, what are your chances for tossing a head? a tail?

2. In tossing one coin 100 times, what are your chances for tossing a head? a tail?

3. In tossing one coin 200 times, what are your chances for tossing a head? a tail?

deviation = ((absolute value of the difference between expected heads and observed heads) + (absolute value of the difference between expected tails and observed tails)) divided by total number of tosses. This value should always be positive.
4. What is the deviation for 10 tosses?

5. What is the deviation for the 100 tosses?

6. What is the deviation for 200 tosses?

7. How does increasing the total number of coin tosses from 10 to 100 affect the deviation?

8. How does increasing the total number of tosses from 100 to 200 affect the deviation?

9. What two important probability principles were established in this exercise?

10. The percent of occurrence is the obtained results divided by the total tosses and multiplied by 100%. Toss the coins 100 times and record your results.

Calculate the percent occurrence for each combination.

percent Head-Head occurrence:
percent Tail-Tail occurrence:
percent Head-Tail occurrence:
Conclusion:
Begin by stating whether the hypothesis was true or false. Use data and calculations to support your answer. Consider the following questions as you write your conclusion: Why or what happened to result in the outcome you observed? Did you learn anything new? If not, what previously concepts did this lab reinforce? Is there anything you would or could do differently that would improve the experiment? Do you have any other comments/observations you would like to share about this lab?
(*Note: Not all questions pertain to each lab.) Your conclusion should be approximately one paragraph in length